Isolation of cuspidal spectrum, with application to the Gan–Gross–Prasad conjecture

@article{BeuzartPlessis2020IsolationOC,
  title={Isolation of cuspidal spectrum, with application to the
 Gan–Gross–Prasad conjecture},
  author={Raphael Beuzart-Plessis and Yifeng Liu and Wei Zhang and Xinwen Zhu},
  journal={arXiv: Number Theory},
  year={2020}
}
We introduce a new technique for isolating components on the spectral side of the trace formula. By applying it to the Jacquet--Rallis relative trace formula, we complete the proof of the global Gan--Gross--Prasad conjecture and its refinement Ichino--Ikeda conjecture for $\mathrm{U}(n)\times\mathrm{U}(n+1)$ in the stable case. 
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